Bessa, MárioRocha, JorgeTorres, Maria Joana2023-05-252023-05-252013M. Bessa, J. Rocha, M. J. Torres, Hyperbolicity and stability for Hamiltonian flows, 254, 1, 309-322, 20130022-0396http://hdl.handle.net/10400.2/13844We prove that a Hamiltonian star system, defined on a 2d-dimen- sional symplectic manifold M (d 2), is Anosov. As a consequence we obtain the proof of the stability conjecture for Hamiltonians. This generalizes the 4-dimensional results in Bessa et al. (2010) [5].engHamiltonian flowHyperbolic orbitDominated splittingHyperbolicity and stability for Hamiltonian flowsjournal article10.1016/j.jde.2012.08.010